Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110946n |
Isogeny class |
Conductor |
110946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
411321026436672 = 26 · 3 · 11 · 417 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42901,3274400] |
[a1,a2,a3,a4,a6] |
Generators |
[57702780:2496837745:29791] |
Generators of the group modulo torsion |
j |
1838265625/86592 |
j-invariant |
L |
7.5943874264787 |
L(r)(E,1)/r! |
Ω |
0.52563818993058 |
Real period |
R |
14.447936914035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706a1 |
Quadratic twists by: 41 |